The Collineation Groups of Figueroa Planes

The Collineation Groups of Figueroa Planes

We describe the structure of the collineation groups of Figueroa planes, giving examples and explanations that show why the description in Dempwolff [3] is not completely accurate. We also give criteria for when Figueroa planes are isomorphic, and show that certain subplanes are Figueroa or Pappian...

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Veröffentlicht in:Canadian mathematical bulletin 1993-12, Vol.36 (4), p.390-397
Hauptverfasser: Batten, Lynn M., Johnson, Peter M.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Geometry
Mathematics
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:We describe the structure of the collineation groups of Figueroa planes, giving examples and explanations that show why the description in Dempwolff [3] is not completely accurate. We also give criteria for when Figueroa planes are isomorphic, and show that certain subplanes are Figueroa or Pappian planes.
ISSN:0008-4395
1496-4287
DOI:10.4153/CMB-1993-053-0